1. The problem statement, all variables and given/known data Dr. X has an infinitely long superconducting solenoid with n turns per unit length and a power supply to drive arbitrary current wave forms through the solenoid's winding. The power supply can drive DC currents, temporarily ramped currents, sine wave currents, etc....; whatever Dr. X programs it to do. Dr. Y wants to accelerate some electrons on the circumference with radii a and b as shown in the figure. Dr. X says that Dr. Y is nuts; you cannot create an electric field with the superconducting solenoid and the power supply. Can Dr. Y produce an electric field on the two circumferences? If Dr. Y cannot produce an electric field, prove it. If Dr. Y can produce an electric field explain how and calculate the electric field on the circumferences with radii a and b shown in the figure. 2. Relevant equations/information https://drive.google.com/open?id=0B818Uj3Z5tjAQUtJTjA4V1R5RXVkaWN0VFFfMldFTF95OWZZ (Sorry, I guess my image won't load) If such a field were possible both would be time varying due to the multiple programmable options on the power supply and so the electromagnetic 'news' would travel at the speed of light. 3. The attempt at a solution I can find the electric field without problem. What I am unsure of is whether or not it is even possible with this configuration.